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The number 41143

41143 is a twin prime (41141 and 41143 are both prime) and the 4305th prime number. Its only divisors are 1 and 41143.

Number

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How to work it out

  1. 1

    What is special about 41143: a twin prime (41141 and 41143 are both prime); the 4305th prime number.

  2. 2

    41143 is prime, so its only factors are 1 and 41143. It is the 4305th prime; the next prime is 41149 and the one before is 41141.

  3. 3

    The divisors add up to 41144; without 41143 itself that is 1, so 41143 is deficient (1 is less than 41143). Euler's totient φ(41143) = 41142 numbers up to 41143 share no factor with it.

  4. 4

    The digits of 41143 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.

41143 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors41144
Euler totient φ(n)41142
Square1692746449
Cube69644667151207
Square root202.837373
Digit sum / digital root13 / 4
Collatz steps to 1142
Scientific notation4.1143 × 10410^{4}

41143 in other forms

FormValue
In wordsforty-one thousand one hundred and forty-three
Binary (base 2)1010000010110111
Octal (base 8)120267
Hexadecimal (base 16)A0B7
Base 32002102211
As time41143 seconds = 11 h 25 min 43 s

Is 41143 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41143 a prime number?

Yes. 41143 is divisible only by 1 and itself.

What are the factors of 41143?

1, 41143.

What is 41143 in binary?

1010000010110111 (hexadecimal A0B7, octal 120267).

What is the square root of 41143?

About 202.8374.

Is 41143 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 41143?

41143 is a twin prime (41141 and 41143 are both prime); the 4305th prime number.

All about 41143

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    41143: is it prime? Factors, square root, binary, Roman numeral | WordGPT